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Anit [1.1K]
3 years ago
8

A triangle has an area of 36 square feet. If the height of the triangle is 6 more feet than its base, what is its height and bas

e?
Mathematics
1 answer:
andriy [413]3 years ago
7 0
If b is the base then the height h=b+6. As we have S=bh/2 then
36=b(b+6)/2;
b²+6b-72=0;
D/4=3²+72=81
b₁=-3-9=-12
b₂=-3+9=6.
The base is always positive so b=6, h=6+6=12.
Answer: base=6 ft, height=12 ft.

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